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Finding the Third Proportional to 2,578,370 and 5,615,506

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Solution

The third proportional to 2,578,370 and 5,615,506 is: 12,230,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,370 : 5,615,506 = 5,615,506 : x
  2. Step 2: Convert to fraction form
    2,578,370/5,615,506 = 5,615,506/x
  3. Step 3: Cross multiply
    2,578,370x = 5,615,506 × 5,615,506
  4. Step 4: Simplify right side
    2,578,370x = 31,533,907,636,036
  5. Step 5: Solve for x
    x = 31,533,907,636,036/2,578,370
  6. Step 6: Final answer
    x = 12,230,171.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.